state of maximum entropy

USAGE SUMMARY

The phrase "state of maximum entropy" is correct and usable in written English.
It can be used in contexts related to thermodynamics, information theory, or statistical mechanics to describe a system that has reached a condition of maximum disorder or randomness. Example: "In a closed system, the state of maximum entropy signifies that energy is evenly distributed and no useful work can be extracted."

✓ Grammatically correct

Science

News & Media

Encyclopedias

Human-verified examples from authoritative sources

Exact Expressions

9 human-written examples

An object like this, so packed with energy that its particles are as free as they can possibly be, is said to be in a state of maximum entropy.

The New York Times - Health

A system with rigid adiabatic walls will degrade eventually to chemical equilibrium, a state of maximum entropy.

Advances in Space Research

Although not explicitly stated in the Clausius Inequality, the second law principle encompasses the universal approach to obtain uniformity or equilibrium, a state of maximum entropy or disorder.

International Journal of Engineering Science

Regarding each possible configuration of the particles as equally likely, the chaotic state (the state of maximum entropy) is so enormously more likely than ordered states that an isolated system will evolve to it, as stated in the second law of thermodynamics.

Encyclopedia Britannica

Matter "just after" the Big Bang is usually posited to be in a state of maximum entropy – to be in thermal equilibrium.

SEP

Everything will be cooled down to as close to absolute zero as the laws of quantum physics allow, and that is the state of maximum entropy of the Universe.

Forbes

Human-verified similar examples from authoritative sources

Similar Expressions

51 human-written examples

In order to obtain approximate values of system state probabilities, the principle of maximum entropy is employed.

Journal of Industrial Engineering International

In the case of maximum entropy state, can be decoded first with arbitrary low probability of error if satisfies (15) for and.

EURASIP Journal on Wireless Communications and Networking

Let us illustrate the case of maximum entropy binary state with numerical examples.

EURASIP Journal on Wireless Communications and Networking

In the case of maximum entropy channel state, we obtain the capacity region for binary noiseless MAC with one informed encoder.

EURASIP Journal on Wireless Communications and Networking

According to the principle of maximum entropy [36], the state of ignorance on the constellation distribution is here modeled by an uniform law.

EURASIP Journal on Wireless Communications and Networking

Expert writing Tips

Best practice

When discussing systems approaching equilibrium, use "state of maximum entropy" to accurately convey the final condition of disorder and energy distribution.

Common error

Avoid using "state of maximum entropy" to describe open systems that maintain low entropy through continuous energy input. Entropy maximization applies primarily to closed systems.

Linguistic Context

The phrase "state of maximum entropy" functions as a noun phrase that describes a specific condition in a system. According to Ludwig, this condition is one where particles are as free as they can possibly be. It's often used in scientific and technical contexts.

Expression frequency: Uncommon

Frequent in

Science

70%

News & Media

20%

Encyclopedias

10%

Less common in

Formal & Business

0%

Wiki

0%

Reference

0%

Ludwig's WRAP-UP

The phrase "state of maximum entropy" accurately describes a condition of ultimate disorder or equilibrium in a system. As Ludwig AI suggests, it aligns with the second law of thermodynamics. While grammatically correct, its usage is uncommon, primarily appearing in scientific, news, and encyclopedia contexts. Related phrases include "maximum entropy state" and "condition of maximum disorder". When using this phrase, remember its scientific and technical nature, and be mindful of its applicability to closed versus open systems. Overall, Ludwig confirms that "state of maximum entropy" is a valid and precise term for conveying a fundamental concept in physics and information theory.

More alternative expressions

Phrases that express similar concepts, ordered by semantic similarity:

maximum entropy state

Reorders the words slightly, emphasizing the entropy rather than the condition.

condition of maximum disorder

Substitutes "entropy" with "disorder", which is a common interpretation of the term.

state of maximal disorder

Emphasizes disorder as the defining characteristic of the state.

state of complete randomness

Describes the condition in which any order is lacking.

state of thermodynamic equilibrium

Highlights the thermodynamic aspect, referring to the equilibrium achieved at maximum entropy.

highest entropy configuration

Describes the arrangement of particles that leads to maximum entropy.

ultimate state of disorder

Refers to the final condition where the system has reached maximum disorder.

heat death of the universe

Refers to the ultimate state of maximum entropy in a cosmological context.

equilibrium state

Focuses on the equilibrium aspect, implying maximum entropy in a closed system.

final equilibrium

Short phrase that refers to the system at its final equilibrium condition.

FAQs

What does it mean when a system reaches a "state of maximum entropy"?

Reaching a "state of maximum entropy" indicates that the system has achieved its highest possible level of disorder or randomness. Energy is evenly distributed and no further spontaneous changes can occur without external influence.

How is the concept of "state of maximum entropy" used in thermodynamics?

In thermodynamics, the "state of maximum entropy" signifies a system's equilibrium, where energy is dispersed to the fullest extent. Systems naturally evolve toward this state according to the second law of thermodynamics.

Can "condition of maximum disorder" be used interchangeably with "state of maximum entropy"?

Yes, "condition of maximum disorder" is often used as a synonym for "state of maximum entropy", especially when emphasizing the randomness and lack of organization within a system.

Is the "heat death of the universe" an example of a "state of maximum entropy"?

Yes, the "heat death of the universe" is the theorized ultimate state where the entire universe reaches maximum entropy. This means energy is evenly distributed, and no further work or complex processes are possible.